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Finding the Third Proportional to 166,879 and 258,877

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Solution

The third proportional to 166,879 and 258,877 is: 401,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,879 : 258,877 = 258,877 : x
  2. Step 2: Convert to fraction form
    166,879/258,877 = 258,877/x
  3. Step 3: Cross multiply
    166,879x = 258,877 × 258,877
  4. Step 4: Simplify right side
    166,879x = 67,017,301,129
  5. Step 5: Solve for x
    x = 67,017,301,129/166,879
  6. Step 6: Final answer
    x = 401,592.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.